2=2(k+3)+4(5-2k)

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Solution for 2=2(k+3)+4(5-2k) equation: 


Simplifying
2 = 2(k + 3) + 4(5 + -2k)

Reorder the terms:
2 = 2(3 + k) + 4(5 + -2k)
2 = (3 * 2 + k * 2) + 4(5 + -2k)
2 = (6 + 2k) + 4(5 + -2k)
2 = 6 + 2k + (5 * 4 + -2k * 4)
2 = 6 + 2k + (20 + -8k)

Reorder the terms:
2 = 6 + 20 + 2k + -8k

Combine like terms: 6 + 20 = 26
2 = 26 + 2k + -8k

Combine like terms: 2k + -8k = -6k
2 = 26 + -6k

Solving
2 = 26 + -6k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '6k' to each side of the equation.
2 + 6k = 26 + -6k + 6k

Combine like terms: -6k + 6k = 0
2 + 6k = 26 + 0
2 + 6k = 26

Add '-2' to each side of the equation.
2 + -2 + 6k = 26 + -2

Combine like terms: 2 + -2 = 0
0 + 6k = 26 + -2
6k = 26 + -2

Combine like terms: 26 + -2 = 24
6k = 24

Divide each side by '6'.
k = 4

Simplifying
k = 4

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